Shree Sai Prakashan
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Advanced Calculus by Dr. H.K. Pathak — Published by Shree Shiksha Sahitya Prakashan, Meerut  Strictly as per the NEP 2020 Discipline Specific Elective (DSE) syllabus for B.A./B.Sc. Third Semester, written for students across India — with particular relevance for Chhattisgarh State Universities: Pandit Ravishankar Shukla University (PRSU) Raipur, Hemchand Yadav Vishwavidyalaya Durg, Guru Ghasidas Vishwavidyalaya Bilaspur, and Sant Gahira Guru Vishwavidyalaya Sarguja.  SYLLABUS COVERAGE (4 Units, 60 Periods): Unit I: Limits & Continuity of functions of two and three variables; Mean Value Theorems; Taylor's Theorem; Partial Differentiation; Euler's Theorem; Change of Variables Unit II: Partial Derivation & Differentiability; Schwartz's Theorem; Young's Theorem; Implicit Function Theorem; Fourier Series; Fourier Expansion of Piecewise Monotonic Functions Unit III: Jacobian; Maxima, Minima & Saddle Points of functions of two variables; Lagrange's Multipliers; Envelopes; Evolutes Unit IV: Beta & Gamma Functions; Double & Triple Integrals; Dirichlet's Integrals; Change of Order of Integration  ALSO USEFUL FOR IIT JAM & GATE MATHEMATICS: Several topics in this book — Partial Differentiation, Maxima-Minima with Lagrange's Multipliers, Beta & Gamma Functions, and Multiple Integrals — appear directly in the IIT JAM Mathematics and GATE Mathematics (MA) syllabi, giving an early start on postgraduate entrance preparation.  EXAM PREPARATION FEATURES: Previous Year Question Papers (Solved) | Chapter-wise Solved Examples | Multiple Choice Questions (MCQ) | Objective Questions | Higher Order Thinking Skills (HOTS) Questions  Teacher-recommended, and known for university exam questions drawn directly from its worked examples. Also available in Hindi medium by the same author. Written by Dr. H.K. Pathak — a trusted author in Indian mathematics education. |
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